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Finding the Third Proportional to 48,586 and 101,528

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Solution

The third proportional to 48,586 and 101,528 is: 212,158.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,586 : 101,528 = 101,528 : x
  2. Step 2: Convert to fraction form
    48,586/101,528 = 101,528/x
  3. Step 3: Cross multiply
    48,586x = 101,528 × 101,528
  4. Step 4: Simplify right side
    48,586x = 10,307,934,784
  5. Step 5: Solve for x
    x = 10,307,934,784/48,586
  6. Step 6: Final answer
    x = 212,158.54

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.